Add 30/84 and 63/49, Solve 30/84 + 1 14/49 as a fraction

Add 30/84 and 63/49

1^st number: 30/84, 2^nd number: 1 14/49

30/84 + 63/49 is 23/14.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 49 is 588

Next, find the equivalent fraction of both fractional numbers with denominator 588
For the 1st fraction, since 84 × 7 = 588,
30/84 = 30 × 7/84 × 7 = 210/588
Likewise, for the 2nd fraction, since 49 × 12 = 588,
63/49 = 63 × 12/49 × 12 = 756/588
Add the two like fractions:
210/588 + 756/588 = 210 + 756/588 = 966/588
966/588 simplified gives 23/14
So, 30/84 + 63/49 = 23/14
In mixed form: 19/14

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